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Finding the Fourth Proportional to 64,241, 96,321 and 30,969.44

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Solution

The fourth proportional to 64,241, 96,321 and 30,969.44 is: 46,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,241 : 96,321 = 30,969.44 : x
  2. Step 2: Convert to fraction form
    64,241/96,321 = 30,969.44/x
  3. Step 3: Cross multiply
    64,241x = 96,321 × 30,969.44
  4. Step 4: Simplify right side
    64,241x = 2,983,007,430.24
  5. Step 5: Solve for x
    x = 2,983,007,430.24/64,241
  6. Step 6: Final answer
    x = 46,434.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.